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11206241430 = 2353750320071
BaseRepresentation
bin10100110111111000…
…11010110010010110
31001220222112001021220
422123330122302112
5140422244211210
65051552351210
7544462323546
oct123374326226
931828461256
1011206241430
1148306a405a
122208b45506
1310978887b7
14784439326
15458c2cc70
hex29bf1ac96

11206241430 has 64 divisors (see below), whose sum is σ = 27678163968. Its totient is φ = 2901640320.

The previous prime is 11206241413. The next prime is 11206241437. The reversal of 11206241430 is 3414260211.

It is a self number, because there is not a number n which added to its sum of digits gives 11206241430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11206241437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548295 + ... + 568365.

It is an arithmetic number, because the mean of its divisors is an integer number (432471312).

Almost surely, 211206241430 is an apocalyptic number.

11206241430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11206241430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13839081984).

11206241430 is an abundant number, since it is smaller than the sum of its proper divisors (16471922538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11206241430 is a wasteful number, since it uses less digits than its factorization.

11206241430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20621.

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 11206241430 in words is "eleven billion, two hundred six million, two hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 503 555 1006 1110 1509 2515 3018 5030 7545 15090 18611 20071 37222 40142 55833 60213 93055 100355 111666 120426 186110 200710 279165 301065 558330 602130 742627 1485254 2227881 3713135 4455762 7426270 10095713 11139405 20191426 22278810 30287139 50478565 60574278 100957130 151435695 302871390 373541381 747082762 1120624143 1867706905 2241248286 3735413810 5603120715 11206241430